MATH 221 Week 5 Quiz

MATH 221 Statistics for Decision Making - DeVry

1. Question :     (TCO 4) Three members of a club will be selected to serve as officers. The first person selected will be president, the second person will be vice-president and the third will be secretary/treasurer. How many ways can these officers be selected if there are 30 club members?

 2. Question :     (TCO 4) Which of the following cannot be a probability?

 3. Question :     (TCO 4) List the sample space of rolling a 6 sided die.

 4. Question :     (TCO 4) What is the probability of choosing a queen on the 2nd draw if the first was a queen (without replacement)?

5. Question :      (TCO 4) A nursing class has 13 women and 18 men. If a student is chosen randomly to be the team leader, what is the probability the student is a woman?

6. Question :      (TCO 4) Compute the following: 3! ÷ (0! * 3!)

 7. Question :     (TCO 5) Decide whether the experiment is a binomial, Poisson, or neither based on the information given. Each week a man plays a game in which he has a 21% chance of winning. The random variable is the number of times he wins in 64 weeks.

 8. Question :     (TCO 5) Given a Poisson distribution with mean = 4. Find P(X < 3).

 9. Question :     (TCO 5) Given the random variable X = {7, 8} with P(7) = 0.7 and P(8) = 0.3. Find E(X).

 10. Question :   (TCO 5) If X = {-1, 12, 3, -4} and P(-1) = 0.3, P(12) = 0.1, P(3) = 0.2, and P(-4) = 0.4, can distribution of the random variable X be considered a probability distribution?

 11. Question :   (TCO 5) If X = {2, 6, 10, 14} and P(2) = 0.2, P(6) = 0.3, P(10) = 0.4, and P(14) = 0.1, can distribution of the random variable X be considered a probability distribution?

 12. Question :   (TCO 5) The number of shoes in your closet represents what kind of distribution?

 13. Question :   (TCO 5) Your baby’s height represents what kind of distribution?

14. Question :    (TCO 5) The amount of posts in our class at a given time represents what kind of distribution?

Explanatory

 1.Question :      (TCO 5) We have a binomial experiment with p = 0.4 and n = 2.

(1) Set up the probability distribution by showing all x values and their associated probabilities.

(2) Compute the mean, variance, and standard deviation.

 2.Question :      (TCO 4) What is the probability that the student is a sophomore given he doesn't carry a credit card?

3.Question :       (TCO 4) Some students were asked if they carry a credit card. Here are the responses.

4.Question :       (TCO 4) What is the probability that the student is a sophomore and doesn't carry a credit card?